Using the z-distribution, as we have the standard deviation for the population, it is found that the correct decision is given by:
Reject the null hypothesis. There is enough evidence to oppose the company's claim.
What are the hypothesis tested?At the null hypothesis, it is tested if the mean is of 2.7 years, that is:
[tex]H_0: \mu = 2.7[/tex]
At the alternative hypothesis, it is tested if the mean is different of 2.7 years, hence:
[tex]H_1: \mu \neq 2.7[/tex]
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the sample.n is the sample size.In this problem, the values of the parameters are given by:
[tex]\overline{x} = 3.1, \mu = 2.7, \sigma = 0.85, n = 25[/tex]
Hence, the value of the test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3.1 - 2.7}{\frac{0.85}{\sqrt{25}}}[/tex]
[tex]z = 2.35[/tex]
What is the decision?Considering a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05, the critical value is of [tex]|z^{\ast}| = 1.96[/tex].
Since the absolute value of the test statistic is greater than the critical value, the correct decision is:
Reject the null hypothesis. There is enough evidence to oppose the company's claim.
More can be learned about the z-distribution at https://brainly.com/question/16313918
Answer:
Reject the null hypothesis. There is enough evidence to oppose the company's claim.
Step-by-step explanation:
The test statistic needs to fall within the rejection regions that are above and below the critical z-score associated with a 5% level of significance in order to reject the null hypothesis. Otherwise, we will fail to reject the null hypothesis.
The function below show the amount of money Bella and sweet T had saved after earning money from doing chores
Answer:
Bella saves more per chore than sweet T
Step-by-step explanation:
What is the equation of the vertical asymptote for the graph below? y=1/x−2
very cheap answer
vertical asymptoes occur when the denominator turns to zero, in this case we know the denominator is x - 2, so let's zero it out, by x - 2 = 0, thus x = 2, that's the equation of the vertical asymptote, or namely, the vertical line of x = 2 marks the line where the graph glides over but never touches it.
what is physics what is metallurgy what is Morelos again
Answer:
what is physics
Physics is s type of study in science that talks about the structure of matter and how the fundamental constituents of the universe interact.
what is metallurgy
Metallurgy is a type of study in science and technology that talk's about the properties of metal and its production and purification.
what is Morelos
Morelos is in Mexico. it is a Mexican state.
Morelos. / (Spanish moˈrelɔs) / noun. an inland state of S central Mexico, on the S slope of the great plateau.
Hope it helps!!!!!!brainliest pls!!!!!!!!!!What is the most reasonable answer for the following question? There are 1300 students at Eric B. Smith Middle School. Approximately 700 of the students take the bus home. 25% of the rest of the students that do not take the bus get a ride home. Approximately how many students get a ride home?
Answer:
150 students
Step-by-step explanation:
1300 - 700 = 600
600 x .25 = 150 (25% = 0.25)
Find the surface area of the prism.round to the nearest whole number
And working out
I'm not entirely sure if this is what you're looking for, but I'm going to try to help anyways.
how many times does 150 go into 3000
Answer:
20
Step-by-step explanation:
x × 150 = 3000
x = 3000 ÷ 150x = 20many times does 150 go into 3000 is 20
3000/150=20
20 times does 150 go in 3000
What is -8 +-2 ? Please help
Answer:
-10
Step-by-step explanation:
-8 + -2
-8 -2
-10
Answer:
-10
Step-by-step explanation:
y=5x² – 1
Please answer I need asap thank you!!
Answer:
Step-by-step explanation:
Which graph represents the compound inequality?
–3 < n < 1
Answer:
theres no graph
Step-by-step explanation:
Answer:
open circle, -3 & 1
( option C )
Three times certain number increased by four is equal to
16. Find the number.
Answer:
4
Step-by-step explanation:
(4 X 3) + 4 = 16
a car passes through the point (1,3)..it's gradient=2x-1/x². Find the equation of the line
Answer:
y = -1/2x - 3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Determine known variables
Slope = -1/2 (m = -1/2)
y-intercept - (0, -3), so b = -3
Step 2: Write in known variables
y = -1/2x - 3
Five more than one third of a number is -2. Find the number
3/4 x 3/4 in standard form
Help please i need the answer
Step-by-step explanation:
but ... you had already correctly answered the first part.
L² + W² = d²
Pythagoras ...
all you needed to do now was do the calculations. no "brainware" needed ...
30² + 10² = d²
900 + 100 = d²
1000 = d²
d = 31.6227766... ≈ 31.6 units
Find the common difference of the arithmetic sequence 14, 8, 2,.
Answer:
-6
Step-by-step explanation:
Si la suma de los ángulos interiores de un polígono es 2160
, ¿cuántos lados tiene el polígono?
Answer:
14
Step-by-step explanation:
El número de lados del polígono es 14.
What are the measures of angles 1,2, and 3?
Answer:
[tex]m\angle 1=50\degree[/tex]
[tex]m\angle 2=70\degree[/tex]
[tex]m\angle 3=50\degree[/tex]
Step-by-step explanation:
[tex]m \angle \: 1 = 180 \degree - (60 \degree + 70 \degree) \\ (by \: angle \: sum \: property \: of \: a \: \triangle) \\ \implies \: m \angle \: 1 = 180 \degree - 130 \degree \\ \\ \implies \: \huge \red{ m \angle \: 1 = 50 \degree} \\ \\ \huge \purple{ m \angle \: 2 = 70 \degree } \\ (alternate \: \angle s) \\ \\ m \angle \: 3 =m \angle \: 1 \\ (alternate \: \angle s) \\ \\ \implies \: \huge \orange{ m \angle \: 3 = 50 \degree}[/tex]
what is the answer please
Answer: You know what's the answer...... it is 159.32
Hope it helps :)
If the Lenght of Rectangle is 10 cm and its Breadth is 15 cm . Then find the Area of Rectangle ?
Answer:
Given ,
Length of rectangle = 10cm
Breadth of rectangle = 15cm
Now ,
Area of rectangle = length × breadth
= ( 10 × 15 ) cm²
= 150 cm²
[tex]\\[/tex]
hope helpful ~
Question :-
If the Lenght of Rectangle is 10 cm and its Breadth is 15 cm . Then find the Area of Rectangle ?Answer :-
Area of Rectangle is 150² cm .[tex] \rule {210pt} {2pt} [/tex]
Given :-
Lenght of Rectangle = 10 cmBreadth of Rectangle = 15 cmTo Find :-
Area of Rectangle = ?Solution :-
As per the provided information in the given question, we have been given that the Lenght of Rectangle is 10 cm . Breadth of Rectangle is given 15 cm . And, we have been aksed to calculate the Area of Rectangle .
For calculating the Area , we will use Area of Rectangle Formula :-
[tex] \sf {Area \: of \: Rectangle = Lenght \times Breadth} [/tex]Therefore , by Substituting the given values in the above Formula :-
⇒ Area of Rectangle = Lenght × Breadth
⇒ Area of Rectangle = 10 × 15
⇒ Area of Rectangle = 150
Hence :-
Area of Rectangle = 150² cm[tex] \underline {\rule {210pt} {4pt}} [/tex]
Additional Information :-
[tex] \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Square} = Side \times Side} \\ \\ \\ \footnotesize\bigstar \: \bf{Area \: _{Rectangle} = Lenght \times Breadth} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Triangle} = \frac{1}{2} \times Base \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Parallelogram} = Base \times Height} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Trapezium} = \frac{1}{2} \times [ \: A + B \: ] \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf {Area \: _{Rhombus} = \frac{1}{2} \times Diagonal \: 1 \times Diagonal \: 2}\end{array}}\end{gathered}\end{gathered} [/tex]
Brian pays £466. 98 a year on his car insurance. The insurance company increases the price by 3. 2%. How much does the insurance cost now?Give your answer rounded to 2 DP
Answer:
481.92
Step-by-step explanation:
3.2÷100×466,98=
14,94
then add
466.98 +14.94
481.92
Does anyone know the answer
Answer:
A. (8, -6)
Step-by-step explanation:
Firstly, you want to get those two expressions to be in y-intercept form. (y=mx+b)
Then you want to Desmo Graphing Calculator and submit the two equations.
Therefore 15x+8y=72 and x-8y=56 intersect at (8, -6)
Need help on this question ASAP pleasee I’m going to really appreciate it (:
Write an equation for the word sentence!!
- A number divided by 0. 5 is 29
Pls help me T-T
Answer:
[tex]\frac{x}{0.5} =29[/tex]
Step-by-step explanation:
A number, so x, is divided by, so a fraction, 0.5. So [tex]\frac{x}{0.5}[/tex]. Is, which means equals (=), 29. So [tex]\frac{x}{0.5} =29[/tex]
P.S. The answer is x = 14.5
irs. Miller
In how many ways can the survey be answered?
Our survey asked teens to place a 1, 2, 3, 4, or 5 next to each type of music Our survey lists country, classical hip-hop, oldies, and
alternative as music options. That's going to give us a bunch of answer
arrangements In this graphic, the students are ranking the musics: country, classical, hip-hop, oldies, and alternative from 1-5. So in how many ways can they be surveyed?
The number of ways the survey can be answered is an illustration of selection
The survey can be answered in 625 ways
How to determine the number of waysThe options are given as: 1 to 5
The types of music are given as: country, classical hip-hop, oldies, and
alternative
There are 4 music types.
This means that any of the 5 options 1 - 5 can be selected for each of the 4 music types.
So, the number of ways (n) is:
[tex]n = 5^4[/tex]
Evaluate the exponent
[tex]n = 625[/tex]
Hence, the survey can be answered in 625 ways
Read more about selection at:
https://brainly.com/question/251701
Solve for b 6b + 16 = 94
Answer:
b=13
Step-by-step explanation:
First, subtract 16 from 94. 94-16=78
Then divide 6 into 78. 78/6=13
Therefore, b=13
Answer:
b=13
Step-by-step explanation:
6b+16=94
subtract 16 from both sides
6b=78
divide both sides by 6
b=13
Review the graph of
Which point lies outside of the solution set? (y+4)^2/9-(x+1)^2/9>1
The point outside the solution set are the false values of the inequality
The point outside the solution set of (y+4)^2/9-(x+1)^2/9>1 is (-1,-1)
How to determine the point outside the solution setThe inequality of the graph is given as:
[tex]\frac{(y+4)^2}{9}-\frac{(x+1)^2}{9} > 1[/tex]
Next, we test the options
Option A. (-2,4)This gives
[tex]\frac{(4+4)^2}{9}-\frac{(-2+1)^2}{9} > 1[/tex]
[tex]\frac{64}{9}-\frac{1}{9} > 1[/tex]
Evaluate the difference
[tex]7 > 1[/tex] -- this is true
Option B. (2,-12)This gives
[tex]\frac{(-12+4)^2}{9}-\frac{(2+1)^2}{9} > 1[/tex]
[tex]6.1 > 1[/tex] -- this is true
Option C. (-1,-1)This gives
[tex]\frac{(-1+4)^2}{9}-\frac{(-1+1)^2}{9} > 1[/tex]
[tex]1 > 1[/tex] -- this is false
Hence, the point outside the solution set of (y+4)^2/9-(x+1)^2/9>1 is (-1,-1)
Read more about solution sets at:
https://brainly.com/question/13729904
Answer: it is C (-1, -1)
Step-by-step explanation:
Ambry ran a 3.1-mile race in 18 minutes.
What is Ambry's average pace in minutes per mile, to the nearest hundredth?
Answer:
5.81
Step-by-step explanation:
18/3.1 = 5.806, which rounds to 5.81.
The scores on the push-up portion of a physical fitness test had a mean of 62 and a median of 60. One athlete was absent during the test, and his score was not included in the calculations. If his score of 67 were added to the distribution of scores, what would happen to the mean and median?
The mean would increase and the median would decrease.
The mean would increase and the median would stay about the same.
The mean would decrease and the median would stay about the same.
The mean would decrease and the median would increase.
What is the volume of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
2712.96 yd
Step-by-step explanation:
v (volume) = π[tex]r^{2}[/tex]h
v = 3.14 x [tex]12^{2}[/tex] x 6
v = 3.14 x 144 x 6
v = 2712.96
Evaluate.
(3.5−56)⋅(−3.4+515)
Enter your answer as a decimal or mixed number in simplest form in the box.
Answer:
−16,848
Step-by-step explanation:
firstly, evalute whatever is in the parentheses. [3.5 minus 56 equals "-32.5" then the next [-3.4+515 equals "518.4"
then multiply the two numbers: "-32.5 × 518.4"
−16,848 is the answer.. its definitely a weird question.